Analysis and parameter identification of time-delay systems via shifted Jacobi polynomials

DOI10.1080/00207178608933644zbMath0594.93021OpenAlexW2116456391MaRDI QIDQ3725947

Ing-Rong Horng, Jyh-Horng Chou

Publication date: 1986

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178608933644

zbMATH Keywords

parameter-identificationlinear systems with arbitrary time delayshifted Jacobi delay operational matrix

Mathematics Subject Classification ID

System identification (93B30) Linear systems in control theory (93C05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) General theory of functional-differential equations (34K05) Classical operational calculus (44A45)

Related Items (7)

Numerical solution of piecewise constant delay systems based on a hybrid framework ⋮ A novel approach for the numerical investigation of optimal control problems containing multiple delays ⋮ A hybrid approach to parameter identification of linear delay differential equations involving multiple delays ⋮ Parameter identification of linear multi-delay systems via a hybrid of block-pulse functions and Taylor’s polynomials ⋮ Dynamical feedback compensator for uncertain time-delay systems containing saturating actuator ⋮ Numerical solution of fractional delay differential equation by shifted Jacobi polynomials ⋮ Using Orthogonal Functions for Identification and Sensitivity Analysis of Mechanical Systems

Cites Work

• Quasilinearization and the estimation of time lags
• The special functions and their approximations. Vol. I, II
• Determination of a dynamical model for time-lag systems using a second- order method
• Solution and Parameter Estimation in Linear Time-Invariant Delayed Systems Using Laguerre Polynomial Expansion
• Analysis and parameter identification of time-delay systems via shifted Legendre polynomials
• The Application of Shifted Legendre Polynomials to Time-Delay Systems and Parameter Identification
• Analysis, parameter estimation and optimal control of time-delay systems via Chebyshev series
• System analysis, parameter estimation and optimal regulator design of linear systems via Jacobi series
• Explicit solution of a class of delay-differential equations

This page was built for publication: Analysis and parameter identification of time-delay systems via shifted Jacobi polynomials